Banach代数中的p群逆  

P-group Inverse in Banach Algebra

作　　者：周心悦 刘大勇 陈焕艮 ZHOU Xinyue;LIU Dayong;CHEN Huanyin(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China;College of Science,Central South University of Forestry and Technology,Changsha 410004,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121 [2]中南林业科技大学理学院,湖南长沙410004

出　　处：《杭州师范大学学报（自然科学版）》2022年第1期88-93,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金项目(Y21A010066).

摘　　要：引进Banach代数中的p群逆,并研究其相关的各种性质.两个元素的和在其积为零的条件下是p群可逆的.此外,上三角的算子矩阵在一定条件下有p群逆.进而,指标为1的p-Drazin逆得到了新刻画.In this paper,p-group inverse in Banach algebra is introduced,and various properties of such generalized inverse are presented.If the product of two elements in Banach algebra is zero,then the sum of them is p-group invertible.Moreover,an upper triangular operator matrix has p-group inverse under a special condition.And the p-Drazin inverse with the index of 1 is newly characterized.

关 键 词：群逆 p-Drazin逆 JACOBSON根 BANACH代数 

分 类 号：O153.3[理学—数学]